LMAXFOCK: Difference between revisions

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Description: {{TAG|LMAXFOCK}} sets the maximum angular momentum quantum number ''l'' for the augmentation of charge densities in Hartree-Fock type routines.
Description: {{TAG|LMAXFOCK}} sets the maximum angular momentum quantum number ''l'' for the augmentation of charge densities in Hartree-Fock type routines.
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This flags determines the treatment on the plane wave grid only (pseudo orbitals). To compensate resulting errors, the contributions from the one-center terms are evaluated for the pseudo orbitals also only up to ''l''={{TAG|LMAXFOCK}}, whereas the one-center terms for the exact all-electron orbitals are evaluated up to the maximum required ''l'' (twice the angular quantum number of the partial wave with the highest ''l''). The default is {{TAG|LMAXFOCK}}=4, and it might be required to increase this parameter, if the system contains f-electrons. Since this increases the computational load considerably (factor 2), it is recommended to perform tests, whether the results are already reasonably converged using the default {{TAG|LMAXFOCK}}=4.
In the PAW method, the difference between the charge density of the all-electron partial waves and
the pseudo partial waves
<math>
Q_{\alpha\beta}(r)= \phi^*_\alpha(r)\phi_\beta(r)  - \tilde \phi^*_\alpha(r)\tilde \phi_\beta(r)
</math>
is usually restored on spherical grids centered at each atom
(one-center terms inside the PAW spheres). To describe long range electrostatic terms, the ''moments'' of the differences of the all-electron and pseudo charge density
also need to added on the plane wave grid. This is done up to a certain ''l'' quantum number.
These augmentation charges restore the moments of the all-electron density on the plane wave
grid. For the charge density, this augmentation is done exactly up to the maximum
''l'' quantum number required for the POTCAR files.
 
 
This flag determines the treatment on the plane wave grid for
the exact exchange.  
To compensate resulting errors, the contributions from the one-center terms are evaluated for the pseudo orbitals also only up to ''l''={{TAG|LMAXFOCK}}, whereas the one-center terms for the exact all-electron orbitals are evaluated up to the maximum required ''l'' (twice the angular quantum number of the partial wave with the highest ''l''). The default is {{TAG|LMAXFOCK}}=4, and it might be required to increase this parameter, if the system contains f-electrons. Since this increases the computational load considerably (factor 2), it is recommended to perform tests, whether the results are already reasonably converged using the default {{TAG|LMAXFOCK}}=4.


To be compatible w.r.t. old releases, VASP also reads the flag {{TAG|HFLMAX}} to the same effect as {{TAG|LMAXFOCK}}.
To be compatible w.r.t. old releases, VASP also reads the flag {{TAG|HFLMAX}} to the same effect as {{TAG|LMAXFOCK}}.

Revision as of 15:56, 14 March 2017

LMAXFOCK = [integer]
Default: LMAXFOCK = 4 

Description: LMAXFOCK sets the maximum angular momentum quantum number l for the augmentation of charge densities in Hartree-Fock type routines.


In the PAW method, the difference between the charge density of the all-electron partial waves and the pseudo partial waves is usually restored on spherical grids centered at each atom (one-center terms inside the PAW spheres). To describe long range electrostatic terms, the moments of the differences of the all-electron and pseudo charge density also need to added on the plane wave grid. This is done up to a certain l quantum number. These augmentation charges restore the moments of the all-electron density on the plane wave grid. For the charge density, this augmentation is done exactly up to the maximum l quantum number required for the POTCAR files.


This flag determines the treatment on the plane wave grid for the exact exchange. To compensate resulting errors, the contributions from the one-center terms are evaluated for the pseudo orbitals also only up to l=LMAXFOCK, whereas the one-center terms for the exact all-electron orbitals are evaluated up to the maximum required l (twice the angular quantum number of the partial wave with the highest l). The default is LMAXFOCK=4, and it might be required to increase this parameter, if the system contains f-electrons. Since this increases the computational load considerably (factor 2), it is recommended to perform tests, whether the results are already reasonably converged using the default LMAXFOCK=4.

To be compatible w.r.t. old releases, VASP also reads the flag HFLMAX to the same effect as LMAXFOCK.

Related Tags and Sections

HFLMAX, LMAXFOCKAE


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